Sketching Curves

Your textbook summarizes most of your tools for
sketching curves.
What makes my summary any different? It’s in the order you’d actually
check these things, not just the order they happen to be in the book.

Use these techniques to sketch a graph of a function:

transformations from a function with a known graph

domain and range

continuity

symmetry

intercepts

asymptotes: vertical, horizontal, and slant

leading coefficient test for polynomial, or infinite limits at infinity for any function

regions where function is increasing or decreasing

relative extrema

concavity and points of inflection

You won’t use all of these techniques for every function, but see
where your investigation takes you.